Question

in the figure find x and y L||M P||Q​

Answer 1

Answer:

x=35 because q||p and m is transversal and y=35 because l||m and q is transversal

Answer 2

SOLUTION :-

From the figure in attachment,

In △ABC,

• ∠B = 40°
• ∠C = 35°
• $\sf{∠A \: or \: ∠a = 180° - (∠B - ∠C)} \\ \sf{= 180° - (40° + 35°)} \\ \sf{= 180° - 75°} \\ \sf{= 105°}$

We know that,

A straight line is always equal to 180°.

Now, in figure, line l is equal to ∠a + ∠x.

$\sf→{105 \degree + \angle x = 180 \degree}$

$\sf→{ \angle x = 180 \degree - 105 \degree}$

$\sf →\fbox \green{\angle x = 75 \degree}$

Given that,

• l || m
• p || q

Therefore, ∠x = ∠y (m is transversal in l || m and q is transversal in p || q).

Hence ∠x = ∠y = 75°.